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Finding the Fourth Proportional to 272,629,203,415.93, 408,943,805,123.90 and 272,629,203,415.93

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Solution

The fourth proportional to 272,629,203,415.93, 408,943,805,123.90 and 272,629,203,415.93 is: 408,943,805,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,629,203,415.93 : 408,943,805,123.90 = 272,629,203,415.93 : x
  2. Step 2: Convert to fraction form
    272,629,203,415.93/408,943,805,123.90 = 272,629,203,415.93/x
  3. Step 3: Cross multiply
    272,629,203,415.93x = 408,943,805,123.90 × 272,629,203,415.93
  4. Step 4: Simplify right side
    272,629,203,415.93x = 111,490,023,832,808,174,125,056
  5. Step 5: Solve for x
    x = 111,490,023,832,808,174,125,056/272,629,203,415.93
  6. Step 6: Final answer
    x = 408,943,805,123.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.